Which is the value of this expression when )=-2 and k=-1?
3
jk2
0-64
Nino
O
w
o
NI -
O 64

Answer:

167.55 in

Step-by-step explanation:

use the formula : V= \(\pi r^{2} \frac{h}{3}\)

A vector is a quantity that has both magnitude and direction. Magnitude refers to the length of the vector, and direction refers to the direction in which the vector is pointing.

The magnitude and direction of a vector can be used to represent a wide variety of physical quantities, including velocity, force, and acceleration. Component Form of a Vector:If we have a vector, v, with initial point A (x1, y1) and terminal point B (x2, y2), then the component form of v is given by:v = [x2 - x1, y2 - y1]We can then express the result as an ordered pair.

The magnitude (length) of a vector:The magnitude (or length) of a vector can be calculated using the formula:|v| = √(x² + y²)Where x and y are the x and y components of the vector respectively.Direction of a vector:The direction of a vector can be expressed in two ways, by an angle (θ) or by the angle of elevation

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Answer:

G

Step-by-step explanation:

Rise 4 go over 5

Answer:

G has the slope of 4/5

Step-by-step explanation:

Hope this helps :)

Answer:

Y Me Angry U Hungry Me And Me Angry Way Back together Me Y He Angry Me He Angry Me Angry:(

Among a group of six students, at least two received the same grade on the final exam.

This problem is a classic example of the Pigeonhole Principle, which states that if there are more pigeons than pigeonholes, then at least one pigeonhole must contain more than one pigeon. In this case, the pigeons are the grades assigned to the six students, and the pigeonholes are the possible grades they could have received (A, B, C, D, or F).

Since there are five possible grades and six students, at least one grade must have been assigned to two or more students. This is because if each student received a different grade, there would be five grades in total, which is one less than the number of students, so at least one grade must be repeated.

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Answer:

1. 4

2. \(5\frac{9}{11}\)

3. \(7\frac{6}{16} = 7\frac{3}{8}\)

4. \(1\frac{8}{7} = 2\frac{1}{7}\)

Answer:

what umay di maintindihan

To prove that the group g is cyclic, we analyze the possible values of the order |g|. We consider the cases for each possible value and demonstrate that in all cases, g is either cyclic or leads to a contradiction.

For |g| = 1, 2, 3, 5, or 7, the groups of these orders are always cyclic.

If |g| = 4, 6, 8, 9, 10, 12, or 15, we show that g cannot have the required subgroups. Assuming g is not cyclic, we find an element x of order 2 and additional elements y, z, w, etc., also of order 2. This contradicts the given conditions since g would be isomorphic to Z₂ × Z₂ or have more than one subgroup of order 3 or 5.

For composite orders |g| = pq, where p and q are prime, we generalize the analysis. By Cauchy's theorem, g has elements of order p and q, and since there is only one subgroup of each order, they are cyclic. We show that the intersection of these subgroups cannot have an order of pq, leading to a contradiction. Hence, g is cyclic.

Therefore, in all cases, g is proved to be cyclic. QED.

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Answer:

(a) 48/60 = 4/5

(b) 150/60 = 15/6 = 5/2 = 2 1/2

(c) 84/98 = 12/14 = 6/7

(d) 12/52 = 3/13

(e) 7/28 = 1/4

The fractions reduced to their simplest form:

(a) 48/60 simplifies to 4/5.

(b) 150/60 simplifies to 5/2.

(c) 84/98 simplifies to 6/7.

(d) 12/52 simplifies to 3/13.

(e) 7/28 simplifies to 1/4.

Let's discuss each question separately:

(a) To reduce the fraction 48/60 to simplest form, we need to find the greatest common divisor (GCD) of both numbers. The GCD of 48 and 60 is 12. Dividing both the numerator and denominator by 12 gives us the simplified fraction 4/5.

(b) For the fraction 150/60, we find that the GCD of 150 and 60 is 30. Dividing both the numerator and denominator by 30 results in the simplified fraction 5/2.

(c) The fraction 84/98 can be simplified by dividing both the numerator and denominator by their GCD, which is 14. This gives us the simplest form of 6/7.

(d) To simplify the fraction 12/52, we calculate the GCD of 12 and 52, which is 4. Dividing both numbers by 4 yields the simplest form of 3/13.

(e) The fraction 7/28 can be simplified by dividing both the numerator and denominator by their GCD, which is 7. This simplifies the fraction to 1/4.

In summary, the fractions in their simplest forms are:

(a) 4/5

(b) 5/2

(c) 6/7

(d) 3/13

(e) 1/4.

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The volume of each color is 12.8 cubic inches. Based on this calculation, option A is the correct option.

We have a 4-inch cubed notepad, meaning its dimensions are 4 inches in length, width, and height.

Let's calculate the volume of the notepad using the formula: Volume = length x width x height.

The volume of the notepad is calculated as: 4 x 4 x 4 = 64 cubic inches.

Now, we have 5 different colors, and each color has the same number of sheets. Let's assume there are 'n' sheets of each color.

The volume of each color can be determined by dividing the volume of the notepad by the total number of colors. So, the volume of each color is calculated as: 64/5 = 12.8 cubic inches.

Therefore, the volume of each color is 12.8 cubic inches. Based on this calculation, option A is the correct option.

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Answer:

What do you mean backward?

Step-by-step explanation:

I'm not really sure what you are meaning

If the number of flu patients at the school is modelled by the equation \(F=10e^{0. 12d}\) , then the number of days that it will take for the number of patients to reach 50 is 13 days .

The Exponential Growth equation is given as : \(F=10e^{0. 12d}\) ;

We have to find How many days will it take for the number of new flu patients to equal 50 .

So , we substitute the value \(F=50\) in the model equation ;

we get ;

⇒ \(50 = 10e^{0. 12d}\) ;

dividing both side by 10 ,

we have ;

⇒ \(5=e^{0. 12d}\) ;

taking \(\ln\) on both sides ,

⇒ \(\ln 5 = 0.12d(\ln e)\)   ,....we know that \(\ln e = 1\) ;

⇒\(d= \frac{\ln 5}{0.12}\) ⇒ 13.41198 ;

≈ 13 days .

Therefore , it will take 13 days for the number of patients to reach 50 .

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Answer:

2850

Step-by-step explanation:

We know that only 19% of people prefer the sedans, so we have to find 19% of 15,000. Set up a proportion: \(\frac{19}{100}=\frac{x}{15000}\), cross multiply and get 2850.

Answer:

2850 sedans per month

Step-by-step explanation:

19 % want sedans

They expect to sell 15000 cars

Take the number of cars and multiply by the percent sedans

19% * 15000

Change to decimal form

.19*15000

2850

The total number of different license plates available is the product of the number of arrangements of letters and digits, which is $456,976 \times 1,000 = 456,976,000$.

To determine the number of different license plates available if the pattern consists of 4 letters followed by 3 digits, we need to calculate the total number of possible arrangements of letters and digits.

There are 26 letters in the alphabet, and we can choose any of them for the first letter, any of them for the second letter, and so on. For the first letter, there are 26 choices, and for the second letter, there are also 26 choices. We have 4 letters in total, so the total number of arrangements of letters is $26 \times 26 \times 26 \times 26 = 456,976$.

For the three digits that follow the letters, we have 10 choices for each digit. So the total number of arrangements of digits is $10 \times 10 \times 10 = 1,000$.

Therefore, the total number of different license plates available is the product of the number of arrangements of letters and digits, which is $456,976 \times 1,000 = 456,976,000$. So, there are 456,976,000 different license plates available with the given pattern.

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Answer:B

Step-by-step explanation:

(X-4,Y+2)

The statement "ln(q) = x" can be rewritten as "e^x = q" to represent the exponential relationship between x and q, where e is Euler's number. This exponential form emphasizes the connection between logarithms and exponentiation.

The statement "ln(q) = x" can be rewritten using exponents as "e^x = q." Here, the base of the exponential function is Euler's number (e). The equation represents the exponential relationship between x and q, where x is the exponent and q is the result of raising e to the power of x.

In the natural logarithm function, ln(q), the logarithm is the inverse of the exponential function. It allows us to find the exponent (x) needed to obtain a certain value (q) when e is raised to that power. By taking the exponentiated form, e^x, we express the equation in terms of the exponential function.

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The number of ways to  match 5 of 6 numbers is 6 ways

The number of ways to  match 4 of 6 numbers is 15 ways

The number of ways to  match 3 of 6 numbers is 20 ways

To calculate number of ways to match 5 of 6 numbers we have to use to formula:

\(nCr =\frac{n!}{(n - r)! . r !}\)

\(6C5=\frac{6!}{(6-5)! . 5!}\)

\(6C5=\frac{6!}{(1)! . 5!}\)

\(6C5=\frac{6.5.4.3.2.1}{1.5.4.3.2.1}\)

\(6C5=\frac{6}{1}\)

\(6C5= 6 \ ways\)

∴ 6 ways are to match 5 of 6 numbers

To calculate number of ways to match 4 of 6 numbers we have to use to formula:

\(nCr =\frac{n!}{(n - r)! . r !}\)

\(6C4=\frac{6!}{(6-4)! . 4!}\)

\(6C4=\frac{6!}{(2)! . 4!}\)

\(6C4=\frac{6.5.4.3.2.1}{2.1.4.3.2.1}\)

\(6C4=\frac{30}{2}\)

\(6C4= 15 \ ways\)

∴ 15 ways are to match 4 of 6 numbers

To calculate number of ways to match 4 of 6 numbers we have to use to formula:

\(nCr =\frac{n!}{(n - r)! . r !}\)

\(6C3=\frac{6!}{(6-3)! . 3!}\)

\(6C3=\frac{6!}{(3)! . 3!}\)

\(6C3=\frac{6.5.4.3.2.1}{3.2.1.3.2.1}\)

\(6C3=\frac{120}{6}\)

\(6C3= 20 \ ways\)

∴ 20 ways are to match 3 of 6 numbers

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Answer:

E

Step-by-step explanation:

A function that is linear is a straight line. A linear function can be found using [ y = mx + b ]

F shows an example of a quadratic function. A quadratic function can be found using [ f(x) = ax² + bx + c ]

Best of Luck!

\( \LARGE{ \underline{ \blue{ \bf{Required \: answer:}}}}\)

The answer is E because the graph of linear equation is a straight line whereas the graph of a quadratic equation is a parabola opening upwards or downwards depends upon the coefficient of a in standard form : ax² + bx + c.

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Answer:

f(x) = 2(3^x) + 1

f(2) = 2(3^2) + 1

= 2(9) + 1

= 18 + 1

= 19

Answer:

It is a non function.

Step-by-step explanation:

Numbers cannot repeat in functions

A. Mean = 2.2 seconds, B. Standard deviation = 1.271 seconds, C. P(x=3.2) = 0, D. P(0.4 < x < 1.8) = 0.3636, E. P(x > 2.48) = 0.4918, F. P(2.7 < x < 4.3) = 0.5455, G. 1.5125 seconds, H. 0.7777 seconds

The answers are as follows:

A. The mean of the distribution is 2.2 seconds.

B. The standard deviation of the distribution is 1.2728 seconds.

C. The probability that a wave will crash exactly 3.2 seconds after the person arrives is zero, since this is a continuous distribution.

D. The probability that a wave will crash between 0.4 and 1.8 seconds after the person arrives is 0.3182.

E. The probability that it will take longer than 2.48 seconds for the wave to crash after the person arrives is 0.4359.

F. The probability that it will take between 2.7 and 4.3 seconds for the wave to crash onto the shoreline is 0.4545.

G. The person will wait at least 3.6 seconds before the wave crashes in 29% of the time.

H. The minimum for the lower quartile is 1.2031 seconds.

The given problem involves a Uniform distribution, which is a continuous distribution that assumes equal probability of the occurrence of all values within a given range. The mean and standard deviation of the distribution can be calculated using the formulas for a Uniform distribution. The probabilities of various events can be calculated using the properties of a Uniform distribution.

In part C, the probability of a wave crashing exactly at a particular time is zero since it is a continuous distribution. In part D, the probability of a wave crashing between two particular times can be found by calculating the area under the probability density function between those times. Similarly, in part E, the probability of a wave crashing after a particular time can be found by calculating the area under the probability density function after that time.

In part F, we need to find the probability that a wave will crash between two particular times given that the person has already been waiting for 1.3 seconds. This is an example of a conditional probability and can be calculated using the conditional probability formula.

In part G, we need to find the minimum time for which the wave will crash in 29% of the time. This can be found by calculating the inverse of the cumulative distribution function.

Finally, in part H, we need to find the minimum time at which the lower quartile occurs. This can be calculated using the formula for the lower quartile of a Uniform distribution.

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Answe12800 miles

Step-by-step explanation:a year is 12 months, and mile round trip means there and back. so 532x24 for the 24 trips that equals 12768. 12768 rounded to the nearest hundreds is 12800

2x,3x and -4z

-24x^2z is the answer

Answer:

32 bottles

Step-by-step explanation:

we divide the 24 pints of juice into the 3/4 pint bottles hence:

24÷3/4 which is

24×4/3

equals to 32

Answer:

Value of \(x=5\)

Step-by-step explanation:

Given that

\(3=\log _{10}(8)+3 \log _{10}(x)\\\\3=\log _{10}(8)+\log _{10}(x^3)\\\\3=\log _{10}(8x^3)\\\\8x^3=10^3\\\\x^3=125\\\\x=5\)

Answer:

7(u+2)=42

7u+14=42

-14 -14

7u=28

u=4

The absolute maximum value of f is 1.

The function f(x) is defined as the natural logarithm of x (lnx) divided by x. This function is undefined when x is equal to 0, but for positive x values, the maximum value of f(x) is 1. To prove this, we need to take the derivative of f(x) and set it equal to 0. We can calculate the derivative of f(x) by using the quotient rule.

The quotient rule states that for two functions u(x) and v(x), the derivative of their quotient can be calculated by taking the derivative of u(x) times v(x) minus the derivative of v(x) times u(x), all divided by v(x)2. After taking the derivative of f(x) = lnx/x, we get f'(x) = (1/x) – (lnx/x2).

Now we set f'(x) = 0 and solve for x. This gives us x = 1, so when x = 1, we get the maximum value of f(x) = ln1/1 = 1. Therefore, the absolute maximum value of f is 1.

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The linear approximation of f(x) at x0 = π/4 is f(x) ≈ 0 + (3/2)(x - π/4)

To linearize the function f(x) = (1 - 4x)sin 3x about x0 = π/4, we can use the linear approximation formula.

The linear approximation formula states that the linear approximation of a function f(x) at x0 is given by:

f(x) ≈ f(x0) + f'(x0)(x-x0)

In our case, f(x0) = (1 - 4π/4)sin 3π/4 = 0 and f'(x0) = (1 - 4π/4)(3cos 3π/4) = 3/2.

Therefore, the linear approximation of f(x) at x0 = π/4 is given by:

f(x) ≈ 0 + (3/2)(x - π/4)

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The allowance time, if the standard time is 234.15 minutes and the basic time is 233.4 minutes is 0.75 minute

To calculate the allowance time, we can use the following formula:

Allowance time = Standard time - Basic time

Thus, Allowance time = 234.15 minutes - 233.4 minute = 0.75 minutes

Therefore, the allowance time is 0.75 minutes.

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Answer:

-3/4

Step-by-step explanation:

4-1/-1-3

is 3/-4

or -3/4

Hope this helps plz hit the crown :D